The mass spectra of \(\Xi _{cb}\)  and \(\Xi _{bb}\)  baryons are calculated, which include all possible hyperfine states presented in Table REF  ranging from S to F states. As no experimental states are available for these baryons, we have compared the obtained mass with other theoretical predictions. For \(\Xi _{cb}\)  baryon, our ground state is quite near to the Refs.[1]}, [2]} but differ from Refs. [3]}, [4]}. Further radial states are in accordance with the other predictions. \(4S\)  state onwards, the difference of around 100 MeV can be seen which is caused by screened potential. Also in higher orbital excited states, the screening effect is visible.
